Table OA1. Expected percentage point change in the probability of a given action chain reaching the last mile (Model 1) and developing into the best idea (Model 2) corresponding to one additional change activity, by Social Network and ss-max. | ||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Actor chooses max performing idea | Actor chooses better performing idea | |||||||||||||||||||
Small World I | Small World II | Small World III | Random | Fully-Connected | Small World I | Small World II | Small World III | Random | Fully-Connected | |||||||||||
Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | |
Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | |
Action chain activity | (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) | (11) | (12) | (13) | (14) | (15) | (16) | (17) | (18) | (19) | (20) |
Within-network-community recombination | 1.97 | -8.00 | 1.79 | -8.51 | 1.83 | -6.95 | 0.58 | -2.60 | 0.78 | -2.85 | 0.61 | -2.74 | ||||||||
Between-network-community recombination | 3.43 | -6.10 | 2.29 | -5.98 | 2.25 | -5.04 | 1.79 | -1.23 | 1.10 | -1.66 | 0.98 | -1.96 | ||||||||
Within-network-community transfer | -0.61 | -0.40ns | -0.69 | 0.62 | -0.50 | 0.08 | -0.55 | 0.19 | -0.39 | 0.85 | -0.30 | 0.85 | ||||||||
Between-network-community transfer | 0.73 | 4.63 | 0.47ns | 4.68 | -0.12 | 4.10 | 0.64 | 5.19 | -0.15 | 3.63 | -0.11 | 3.00 | ||||||||
Self-search | -1.18 | 17.01 | -1.09 | 17.05 | -1.16 | 16.76 | -0.83 | 16.85 | -0.76 | 15.84 | -0.25 | 8.00 | -0.37 | 7.36 | -0.25 | 7.13 | -0.25 | 7.81 | -0.18 | 6.93 |
Recombination | 1.52 | -6.21 | 0.96 | -4.45 | 0.67 | -2.06 | 0.36 | -1.48 | ||||||||||||
Transfer | -0.31 | 2.23 | -0.11 | 1.79 | -0.15 | 0.94 | -0.03 | 1.14 | ||||||||||||
No. of observations (chains) | 36,905 | 16,921 | 37,029 | 17,273 | 36,956 | 17,515 | 37,127 | 17,203 | 37,184 | 18,968 | 37,007 | 20,147 | 37,111 | 20,309 | 36,989 | 20,782 | 36,995 | 20,295 | 37,075 | 22,059 |
Notes: | ||||||||||||||||||||
nsEstimated coefficients are not statistically significant at the 95% confidence level | ||||||||||||||||||||
Probability changes calculated for the median observation using logistic regressions. Model 1 estimates are based on logistic estimation of a binary outcome: 1 if the action chain was the first in a given model run to reach last mile and 0 if otherwise. Model 2 estimates are based on logistic estimation of a binary outcome: 1 if the action chain was the first in a given model run to reach the best possible discoverable idea and 0 if otherwise. | ||||||||||||||||||||
Recombinations and transfers cannot be disaggregated by between- and within-network community in random and fully-connected networks because these network structures do not have network communities. | ||||||||||||||||||||
Estimations made using data from 50,000 runs for each network and ss-max condition (5,000 runs by lanscape). All runs used parameters collab = 0.8 and recomb = 0.8. | ||||||||||||||||||||
Table OA2. Expected percentage point change in the probability of a given action chain reaching the last mile (Model 1) and developing into the best idea (Model 2) corresponding to one additional change activity, by Landscape and ss-max. | ||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ||||||||||||||||||||
Custom landscape | N=8, K=2 | N=8, K=4 | N=8, K=6 | N=10, K=2 | N=10, K=4 | N=10, K=6 | N=12, K=2 | N=12, K=4 | N=12, K=6 | |||||||||||
Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | |
Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | |
Action chain activity | (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) | (11) | (12) | (13) | (14) | (15) | (16) | (17) | (18) | (19) | (20) |
Within-network-community recombination | 1.14 | -6.39 | 2.88 | -5.25 | 3.91 | -9.85 | 3.35 | -9.23 | 2.02 | -6.32 | 2.30 | -8.44 | 2.18 | -8.68 | 1.44 | -4.71 | 1.70 | -6.33 | 1.47 | -10.14 |
Between-network-community recombination | 2.49 | -2.72 | 3.35 | -5.88 | 4.37 | -4.44 | 3.14 | -10.99 | 2.73 | -5.50 | 2.93 | -5.73 | 2.15 | -9.51 | 2.90 | -2.94 | 2.60 | -3.95 | 2.03 | -6.41 |
Within-network-community transfer | -0.45 | 0.39ns | -1.09 | 1.35 | -0.72 | 1.53 | -0.74 | -1.55 | -0.73 | 0.62 | -0.73 | 0.23 | -0.54 | 0.46 | -0.58 | -1.02 | -0.46 | -1.00 | -0.47 | -0.64 |
Between-network-community transfer | 0.92 | 3.05 | -0.08ns | 3.94 | -1.10 | 0.94 | -0.62 | 1.13 | 0.45 | 4.63 | 0.12 | 3.39 | 0.11 | 1.40 | 0.63 | 3.69 | 0.55 | 5.04 | 0.36 | 0.22 |
Self-search | -1.06 | 8.03 | -1.79 | 14.81 | -2.29 | 30.79 | -1.93 | 22.28 | -1.53 | 19.48 | -1.53 | 19.48 | -1.29 | 26.10 | -1.29 | 14.97 | -1.26 | 16.92 | -0.90 | 19.98 |
No. of observations (chains) | 21,741 | 6,324 | 12,677 | 13,922 | 17,793 | 9,155 | 21,577 | 4,832 | 13,763 | 13,449 | 18,890 | 8,515 | 21,996 | 4,652 | 14,718 | 13,066 | 19,677 | 8,149 | 22,645 | 4,024 |
Actor chooses better performing idea | ||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Custom landscape | N=8, K=2 | N=8, K=4 | N=8, K=6 | N=10, K=2 | N=10, K=4 | N=10, K=6 | N=12, K=2 | N=12, K=4 | N=12, K=6 | |||||||||||
Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | |
Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | |
Action chain activity | (21) | (22) | (23) | (24) | (25) | (26) | (27) | (28) | (29) | (30) | (31) | (32) | (33) | (34) | (35) | (36) | (37) | (38) | (39) | (40) |
Within-network-community recombination | 0.77 | -3.28 | 0.55 | -3.03 | 1.33 | -3.86 | 1.36 | -5.44 | 0.13ns | -1.59 | 0.37 | -1.75 | 0.77 | -1.62 | 0.21ns | -1.30 | 0.35 | -1.97 | 0.69 | -1.97 |
Between-network-community recombination | 2.64 | -1.52 | 0.51ns | -1.74 | 0.94 | -1.86 | 1.44 | -0.59ns | 0.47 | -1.81 | 0.97 | -0.92ns | 1.11 | -1.24ns | 0.77 | -1.37 | 0.86 | -0.51ns | 1.14 | -1.70 |
Within-network-community transfer | -0.35 | 0.53ns | -0.95 | 1.10 | -1.01 | 1.02ns | -0.79 | 0.74ns | -0.38 | 0.19ns | -0.33 | -0.22ns | -0.76 | 0.45ns | -0.45 | 0.70 | -0.28 | 0.05ns | -0.37 | 0.99ns |
Between-network-community transfer | 0.96 | 6.24 | -0.28ns | 3.65 | -0.94 | 2.07ns | 0.07ns | 0.63ns | 0.57ns | 2.34 | -0.11ns | 1.85ns | -0.08ns | 0.60ns | 0.05ns | 2.80 | -0.41ns | 3.41 | -0.07ns | 1.64ns |
Self-search | -0.84 | 4.74 | -0.11ns | 11.96 | -0.19ns | 12.24 | -0.39 | 14.37 | -0.21 | 8.14 | -0.14ns | 8.24 | -0.21 | 8.82 | -0.22 | 5.43 | -0.19 | 6.91 | -0.30 | 6.70 |
No. of observations (chains) | 21,581 | 7,319 | 12,782 | 15,202 | 17,939 | 10,482 | 21,597 | 5,826 | 13,680 | 15,283 | 18,763 | 10,582 | 22,074 | 6,001 | 14,595 | 15,191 | 19,670 | 10,424 | 22,597 | 5,810 |
Notes: | ||||||||||||||||||||
nsEstimated coefficients are not statistically significant at the 95% confidence level | ||||||||||||||||||||
Probability changes calculated for the median observation using logistic regressions. Model 1 estimates are based on logistic estimation of a binary outcome: 1 if the action chain was the first in a given model run to reach last mile and 0 if otherwise. Model 2 estimates are based on logistic estimation of a binary outcome: 1 if the action chain was the first in a given model run to reach the best possible discoverable idea and 0 if otherwise. | ||||||||||||||||||||
Estimations made using data from 25,000 runs for each landscape and ss-max condition. All runs used Small World II network, and parameters collab = 0.8 and recomb = 0.8. | ||||||||||||||||||||
Table OA3. Expected percentage point change in the probability of a given action chain reaching the last mile (Model 1) and developing into the best idea (Model 2) corresponding to one additional change activity, by Environment and ss-max. | ||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Actor chooses max performing idea | Actor chooses better performing idea | |||||||||||||||
collab = 0.3 & recomb = 0.3 | collab = 0.3 & recomb = 0.8 | collab = 0.8 & recomb = 0.3 | collab = 0.8 & recomb = 0.8 | collab = 0.3 & recomb = 0.3 | collab = 0.3 & recomb = 0.8 | collab = 0.8 & recomb = 0.3 | collab = 0.8 & recomb = 0.8 | |||||||||
Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | Model 1 | Model 2 | |
Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | |
Action chain activity | (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) | (11) | (12) | (13) | (14) | (15) | (16) |
Within-network-community recombination | 9.23 | -6.58 | 4.08 | -7.78 | 2.96 | -11.71 | 1.94 | -7.92 | 2.26 | -11.17 | 1.98 | -11.76 | 2.14 | -4.35 | 0.61 | -2.69 |
Between-network-community recombination | 10.81 | -5.14 | 3.98 | -7.26 | 3.19 | -12.49 | 2.66 | -5.66 | 3.91 | -9.07 | 2.02 | -10.31 | 2.89 | -5.70 | 1.10 | -1.79 |
Within-network-community transfer | -0.01 | 1.55ns | -0.13 | 0.43 | -0.07 | 1.84 | -0.58 | -0.03 | -0.82 | -1.16 | -0.64 | 0.73 | -0.25 | -0.24 | -0.41 | 0.56 |
Between-network-community transfer | -0.01 | 1.66 | -0.12ns | 0.90 | 0.07 | 6.68 | 0.21 | 3.53 | -0.61 | -0.28 | -0.65 | -0.79 | 0.01 | 3.05 | -0.01 | 3.36 |
Self-search | -0.01 | 1.90 | -0.19 | 1.19 | -0.09 | 28.71 | -1.21 | 16.77 | -0.07 | 11.23 | -0.27 | 11.07 | 0.23 | 9.78 | -0.26 | 7.39 |
No. of observations (chains) | 185,403 | 65,046 | 185,402 | 67,388 | 185,348 | 67,660 | 185,477 | 86,088 | 185,547 | 78,926 | 185,394 | 82,304 | 184,846 | 77,057 | 185,278 | 102,120 |
Notes: | ||||||||||||||||
nsEstimated coefficients are not statistically significant at the 95% confidence level | ||||||||||||||||
Probability changes calculated for the median observation using logistic regressions. Model 1 estimates are based on logistic estimation of a binary outcome: 1 if the action chain was the first in a given model run to reach last mile and 0 if otherwise. Model 2 estimates are based on logistic estimation of a binary outcome: 1 if the action chain was the first in a given model run to reach the best possible discoverable idea and 0 if otherwise. | ||||||||||||||||
Estimations made using data from 250,000 runs for each environment and ss-max condition (25,000 runs by landscape). All runs used network Small World II. | ||||||||||||||||
Table OA4. Expected percentage point change in the probability of a given action chain reaching the last mile (Model 1) and developing into the best idea (Model 2) corresponding to one additional change activity, by partner selection process. | ||||
|---|---|---|---|---|
Random partner selection | Performance based partner selection | |||
Model 1 | Model 2 | Model 1 | Model 2 | |
Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | |
Action chain acivity | (1) | (2) | (3) | (4) |
Within-network-community recombination | 1.79 | -8.51 | 2.16 | -9.70 |
Between-network-community recombination | 2.29 | -5.98 | 2.69 | -5.96 |
Within-network-community transfer | -0.69 | 0.62ns | -0.54 | -0.48 |
Between-network-community transfer | 0.47 | 4.68 | 0.06ns | 6.66 |
Self-search | -1.09 | 17.05 | -0.96 | 17.72 |
No. of observations (chains) | 37,029 | 17,273 | 37,002 | 16,513 |
Notes: | ||||
nsEstimated coefficients are not statistically significant at the 95% confidence level. | ||||
'Performance based partner selection' results are based on a version of the model where ego only interacts with alters who are better performing. 'Random partner selection' results are equivalent to those presented in table 2 of the main paper, provided here for comparison purposes. | ||||
Probability changes calculated for the median observation using logistic regressions. Model 1 estimates are based on logistic estimation of a binary outcome: 1 if the action chain was the first in a given model run to reach last mile and 0 if otherwise. Model 2 estimates are based on logistic estimation of a binary outcome: 1 if the action chain was the first in a given model run to reach the best possible discoverable idea and 0 if otherwise. | ||||
Estimations made using data from 50,000 runs for each Model version (5,000 runs by lanscape). All runs used Small World II network, and parameters collab = 0.8, recomb = 0.8 and ss-max = TRUE. | ||||
Table OA5. Expected percentage point change in the probability of a given action chain reaching the last mile (Model 1) and developing into the best idea (Model 2) corresponding to one additional change activity, by initial condition. | ||||
|---|---|---|---|---|
Actors starting outside the global basin | Actors starting at any location | |||
Model 1 | Model 2 | Model 1 | Model 2 | |
Entered Last Mile | Reached Best Idea | Entered Last Mile | Reached Best Idea | |
Action chain acivity | (1) | (2) | (3) | (4) |
Within-network-community recombination | 1.79 | -8.51 | 1.44 | -6.00 |
Between-network-community recombination | 2.29 | -5.98 | 2.10 | -3.51 |
Within-network-community transfer | -0.69 | 0.62ns | -0.40 | -1.20 |
Between-network-community transfer | 0.47 | 4.68 | 0.32ns | 3.99 |
Self-search | -1.09 | 17.05 | -0.89 | 16.96 |
No. of observations (chains) | 37,029 | 17,273 | 36,596 | 17,769 |
Notes: | ||||
nsEstimated coefficients are not statistically significant at the 95% confidence level. | ||||
'Actors starting outside the global basin' results are equivalent to those presented in table 2 of the main paper, provided here for comparison purposes. In said model, the centroid for the network community could not be a location from which an actor could find the global peak through only self-search. 'Actors starting at any location' results are based on a version of the model that relaxes that restriction. | ||||
Probability changes calculated for the median observation using logistic regressions. Model 1 estimates are based on logistic estimation of a binary outcome: 1 if the action chain was the first in a given model run to reach last mile and 0 if otherwise. Model 2 estimates are based on logistic estimation of a binary outcome: 1 if the action chain was the first in a given model run to reach the best possible discoverable idea and 0 if otherwise. | ||||
Estimations made using data from 50,000 runs for each Model version (5,000 runs by lanscape). All runs used Small World II network, and parameters collab = 0.8, recomb = 0.8 and ss-max = TRUE. | ||||